A finite element penalty algorithm for the parabolic Navier-Stokes equations for turbulent three-dimensional flow
type: Item
instance of: scholarly article
title: A finite element penalty algorithm for the parabolic Navier-Stokes equations for turbulent three-dimensional flow
zbMATH Open document ID: 0534.76037
DOI: 10.1016/0045-7825(84)90104-X
author: A. J. Baker
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1984-01-01T00:00:00Z
review text: The three-dimensional Navier-Stokes equations governing steady, turbulent subsonic flows have been simplified into the 'parabolic' form using a formal order of magnitude analysis procedure. The results of this analysis confirm that the transverse momentum equations, to first order, govern appropriate pressure distributions, and that the continuity equation governs first-order effects of transverse plane momenta. This paper reviews the identification of a well-posed, initial boundary-value differential equation description, and construction and evaluation of a numerical solution algorithm for the parabolic Navier-Stokes equations in physical variables. Numerical results for a broad problem class range in fluid mechanics are summarized, highlighting the versatility and accuracy of the algorithm.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76F99
zbMATH DE Number: 3848816
zbMATH Keywords: three-dimensional Navier-Stokes equations
zbMATH Keywords: steady, turbulent subsonic flows
zbMATH Keywords: 'parabolic' form
zbMATH Keywords: transverse momentum equations
zbMATH Keywords: pressure distributions
zbMATH Keywords: continuity equation
zbMATH Keywords: first-order effects
zbMATH Keywords: well-posed, initial boundary-value differential equation description
zbMATH Keywords: numerical solution algorithm
MaRDI profile type: Publication
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full work available at URL: 0045-7825(84)90104-x
OpenAlex ID: W2041409049
description: scientific article; zbMATH DE number 3848816